{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:5Q4PMYJ6IUHMSWRLHONDAQICEC","short_pith_number":"pith:5Q4PMYJ6","schema_version":"1.0","canonical_sha256":"ec38f6613e450ec95a2b3b9a3041022097a7d3c603579dda9d9e9e0911413986","source":{"kind":"arxiv","id":"2406.03313","version":2},"attestation_state":"computed","paper":{"title":"Weighted tensorized fractional Brownian textures","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"B\\'eatrice Vedel, C\\'eline Esser, Claire Launay, Laurent Loosveldt","submitted_at":"2024-06-05T14:25:37Z","abstract_excerpt":"This paper presents a new model of textures, obtained as realizations of a new class of fractional Brownian fields. These fields, called weighted tensorized fractional Brownian fields, are obtained by a relaxation of the tensor-product structure that appears in the definition of fractional Brownian sheets. Statistical properties such as self-similarity, stationarity of rectangular increments and regularity properties are obtained. An operator scaling extension is defined and we provide simulations of the fields using their spectral representation."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2406.03313","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-06-05T14:25:37Z","cross_cats_sorted":[],"title_canon_sha256":"0d57d59aa956e00a25c06e6aa4b3e784074972a417519cfc5f983ce0d1010d90","abstract_canon_sha256":"f84f4e3bb45ae71a8e82a865f19c43ab57dc10a2aa801391032a4b196cc5d9d7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:46:37.464681Z","signature_b64":"nOm8cRGgYQybqrXDV8uHaPXM1OvQkLF42td2w4saAji4Y7jhRuWVoatob16Y0J5s52MH076BM76mkXL7IbKgDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec38f6613e450ec95a2b3b9a3041022097a7d3c603579dda9d9e9e0911413986","last_reissued_at":"2026-07-05T10:46:37.464321Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:46:37.464321Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weighted tensorized fractional Brownian textures","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"B\\'eatrice Vedel, C\\'eline Esser, Claire Launay, Laurent Loosveldt","submitted_at":"2024-06-05T14:25:37Z","abstract_excerpt":"This paper presents a new model of textures, obtained as realizations of a new class of fractional Brownian fields. These fields, called weighted tensorized fractional Brownian fields, are obtained by a relaxation of the tensor-product structure that appears in the definition of fractional Brownian sheets. Statistical properties such as self-similarity, stationarity of rectangular increments and regularity properties are obtained. An operator scaling extension is defined and we provide simulations of the fields using their spectral representation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.03313","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.03313/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2406.03313","created_at":"2026-07-05T10:46:37.464370+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.03313v2","created_at":"2026-07-05T10:46:37.464370+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.03313","created_at":"2026-07-05T10:46:37.464370+00:00"},{"alias_kind":"pith_short_12","alias_value":"5Q4PMYJ6IUHM","created_at":"2026-07-05T10:46:37.464370+00:00"},{"alias_kind":"pith_short_16","alias_value":"5Q4PMYJ6IUHMSWRL","created_at":"2026-07-05T10:46:37.464370+00:00"},{"alias_kind":"pith_short_8","alias_value":"5Q4PMYJ6","created_at":"2026-07-05T10:46:37.464370+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5Q4PMYJ6IUHMSWRLHONDAQICEC","json":"https://pith.science/pith/5Q4PMYJ6IUHMSWRLHONDAQICEC.json","graph_json":"https://pith.science/api/pith-number/5Q4PMYJ6IUHMSWRLHONDAQICEC/graph.json","events_json":"https://pith.science/api/pith-number/5Q4PMYJ6IUHMSWRLHONDAQICEC/events.json","paper":"https://pith.science/paper/5Q4PMYJ6"},"agent_actions":{"view_html":"https://pith.science/pith/5Q4PMYJ6IUHMSWRLHONDAQICEC","download_json":"https://pith.science/pith/5Q4PMYJ6IUHMSWRLHONDAQICEC.json","view_paper":"https://pith.science/paper/5Q4PMYJ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.03313&json=true","fetch_graph":"https://pith.science/api/pith-number/5Q4PMYJ6IUHMSWRLHONDAQICEC/graph.json","fetch_events":"https://pith.science/api/pith-number/5Q4PMYJ6IUHMSWRLHONDAQICEC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5Q4PMYJ6IUHMSWRLHONDAQICEC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5Q4PMYJ6IUHMSWRLHONDAQICEC/action/storage_attestation","attest_author":"https://pith.science/pith/5Q4PMYJ6IUHMSWRLHONDAQICEC/action/author_attestation","sign_citation":"https://pith.science/pith/5Q4PMYJ6IUHMSWRLHONDAQICEC/action/citation_signature","submit_replication":"https://pith.science/pith/5Q4PMYJ6IUHMSWRLHONDAQICEC/action/replication_record"}},"created_at":"2026-07-05T10:46:37.464370+00:00","updated_at":"2026-07-05T10:46:37.464370+00:00"}